231k views
2 votes
Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible.Simplify your answer (- 5x + 10)/- 5

User Jstnchng
by
7.5k points

1 Answer

0 votes

To answer this question, we have:


(-5x+10)/(-5)

This is equivalent to the following:


(-5x)/(-5)+(10)/(-5)

Then we have:


\begin{gathered} (-5x)/(-5)=(5x)/(5) \\ (10)/(-5)=-(10)/(5) \end{gathered}

Therefore, we have:


(5x)/(5)-(10)/(5)

If we simplify both fractions, we finally have:


\begin{gathered} (5x)/(5)\Rightarrow(5)/(5)=1,(a)/(a)=1 \\ (5x)/(5)=1\cdot x=x \end{gathered}

And


-(10)/(5)=-2

Then after simplification, we finally have:


\begin{gathered} x-2 \\ \end{gathered}

In summary, the process was as follows:


\begin{gathered} (-5x+10)/(-5)=(-5x)/(-5)+(10)/(-5)=(-5)/(-5)x-(10)/(5)=(5x)/(5)-(10)/(5) \\ (5)/(5)x-(10)/(5)=x-2 \end{gathered}

The final result is, then, x - 2.

User Dtk
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories